An airliner passes over an airport at noon traveling 510 mi

Last updated: 6/21/2023

An airliner passes over an airport at noon traveling 510 mi hr due east At 1 00 p m another airliner passes over the same airport at the same elevation traveling due north at 560 mi hr Assuming both airliners maintain their equal elevations how fast is the distance between them changing at 2 00 p m The equation relating the horizontal distance between the first airliner and the airport a the horizontal distance between the second airliner and the airport b and the horizontal distance between the two airliners c is a b c Differentiate both sides of the equation with respect to t 2a da 2b dt Do not simplify db dt 2c dc dt At 2 00 p m the distance between the airliners is changing at a rate of about Round to the nearest tenth as needed mi hr